Hola,
Funciones Compuestas :
f(x) = 3x
g(x) = x² - 5
<img src="https://tex.z-dn.net/?f=---------------------" />
A.
) <img src="https://tex.z-dn.net/?f=%20f%28g%28x%29%29%3A" />
<img src="https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20f%28%20%7Bx%7D%5E%7B2%7D%20-%205%29%20%5C%5C%20f%28g%28x%29%29%20%3D%203%28%20%7Bx%7D%5E%7B2%7D%20-%205%29%20%5C%5C%20f%28g%28x%29%29%20%3D%203%20%7Bx%7D%5E%7B2%7D%20-%2015" />
<img src="https://tex.z-dn.net/?f=---------------------" />
B.
)<img src="https://tex.z-dn.net/?f=g%28f%28x%29%29%3A%20" />
<img src="https://tex.z-dn.net/?f=g%28f%28x%29%29%20%3D%20g%283x%29%20%5C%5C%20g%28f%28x%29%29%20%3D%20%283x%29%20%5E%7B2%7D%20-%205%20%5C%5Cg%28f%28x%29%29%20%3D%209%20%7Bx%7D%5E%7B2%7D%20-%205" />
<img src="https://tex.z-dn.net/?f=---------------------" />
C.
)<img src="https://tex.z-dn.net/?f=f%28g%283%29%29%3A" />
<img src="https://tex.z-dn.net/?f=f%28g%283%29%29%20%3D%20f%283%5E%7B2%7D%20-%205%29%20%5C%5C%20f%28g%283%29%29%20%3D%20f%284%29%20%5C%5C%20f%28g%283%29%29%20%3D%203%284%29%20%5C%5C%20f%28g%283%29%29%20%3D%2012" />
<img src="https://tex.z-dn.net/?f=---------------------" />
D.
)[img = 10]
[img = 11]
[img = 12]
Espero que te sirva, Saludos.